Engine Access is not hard in 2003 356
The strap you are referring to can be modified with a plastic snap buckle and you can easily remove the cover. You can check the oil without removing the cover. It is kind of hard to find and I have tied a string to my oil dipstick so it is easier to locate. Just pay attention to where it is so you can put it back.
For changing the impeller, you will remove the two cotter pins on the lower edge, slide the bolts out, and then you can slide the cover to the area in front of the rear bedroom door and behind the kitchen counter. You then have complete access to perform all maintenance. You can also lift it up and over the kitchen counter and set it on the port bench. I have done both.
On the 03 356 and the 04, I know the raw water pump has to be lossened and turned over to take off the cover. It is no big deal to do and only takes a few minutes to loosen the pump bracket and remove the belt. On later models between 04 and Seadaddler, I am not sure. His pump faces forward and is much easier to access, but don't be intimidated by the arrangement I have.