Or you state it from the opposite perspective, that pulling down on the boom closes off the leach.
Yup, increase leech tension=close off leech=reduce twist.
Move the traveler to windward, lengthen the mainsheet to put the boom back to near center. This means the downward pull on the boom is reduced, so the sail is allowed to twist. Are you with me so far? Do we agree?
Weeeeell... Here's how I understand it. On a traveller equipped boat, preferably with easily adjusted traveller, not some pin stop mess... (And I'm wearing my racing hat, here.) sail close hauled. Watch the top two leech telltales, and set main tension such that both fly, and maybe the top telltale flicks around every so often. From this point, twist is set for the wind, and the boom "sags" off to leeward with the mainsheet angled from the attachment point as it is wont to do (angle of attack.) For lighter winds, it may be necessary to bring the traveller to windward, to get the boom to centerline. (I am assuming that the weight of the boom is not pulling the leech closed - that either the wind is strong enough to hold the boom up, the Boomkicker is holding the boom up, the topping lift is holding the boom up, or the GNAV-style rigid vang is holding the boom up.) Moving the traveller to windward should maintain the same "angle of sag" of the mainsheet (provided divergence of the tangent to the arc of the boom doesn't significantly effect the mainsheet pull, as from my previous post.) At the same time, a puff allows the traveller to be dropped leeward to momentarily depower, and then bring back to windward to keep the sail driving, all while maintaining the correct twist for the prevailing wind strength. If one were to foot off, possibly as far as a close beam reach (depending on the amount of travel of the traveller) one could drop the traveller, again maintaining the correct amount of twist without touching the mainsheet.
OK, so if we agree, then to my original point. If the sheet is attached to the end of the boom, there is a lot of leverage to pull the boom down. As the traveler is moved windward, when the wind picks up some, the sheet is pulled tight, which limits the side to side position of the boom. HOWEVER, the boom can move up (of course that does move the boom slightly side to side, but negligible.) If the sheet attachment point is at the end of the boom, the downward vector of the sheet has a lot of affect on the boom angle. If you want to allow the boom to rise a bit, you have to move the traveler farther to windward. Are we still in agreement?
OK, now picture attaching the sheet in the middle of the boom. The side to side movement is still limited by the main sheet becoming tight, however (and this is the big point) the boom can much more easily move upward, because the attachment point is in the middle. You've lost some of the leverage on the boom to pull it down. So, the wind picks up, and the boom rises because nothing is pulling it down. Of course a boom vang would prevent that, but not sure if the OP's boat has one.
Ok, so you are saying that if you move the mainsheet attachment from end boom sheeting to mid boom sheeting, the former end boom purchase (what, 3:1?) is no longer strong enough to pull more leech tension and reduce twist, as the wind gets stronger? Well, that may be. So one would want to increase from 3:1 to 4:1. Or use the vang more.
But it's all academic, because if one is moving from end boom to mid boom, with 3:1 mainsheet purchase, and no traveller and no vang, one is not a speed weenie like I am, and wouldn't care anyway!
Ok, so the OP was about moving from end boom sheeting to mid boom sheeting, solely to allow a bimini to be used further aft. In this scenario, one would want that mid boom attachment point as close to the house as possible. And if you're going to do that, you want a traveller so that when not sailing, one could pull the traveller off far to one side to clear space in front of the companionway, and allow for better cockpit lounging and moving in and out of the cabin. But I think this is less desirable, because if there's rain, it may be good to have the bimini on a track, so that it can be move forward to cover the sliding hatch to some degree, allowing the drop boards to be left out for ventilation, while also keeping rain out. I don't know, I could probably keep a bimini up, but slid forward some, with end boom sheeting. I don't ever sit at the back of the cockpit while sailing anyway, I sit in front of the tiller so I can shift sides while tacking. Plus, on my small boat, if I sit aft too far, I don't want the stern to drag and slow me down. See, speed weenie, even in a slow cruising boat!