I've been in your situation before and I referenced Carid's write up on New VS Remanufactured which states what is involved in the remanufacturing:
A remanufactured part is one that has undergone a major teardown and
inspection. It has had all its wear-and-tear components replaced with
new ones. Remanufactured parts often distinguish themselves by
mirroring updates and improvements the OE manufacturer has made to
subsequent new parts. The reman company has tested the final product
once it's been assembled and before it's boxed up for resale. The
average shopper may look at a remanufactured part and think that it's
new, it will look that good. In general, remanufactured parts carry
the same warranty as a similar new part from the same supplier.
Historically some remanufactured parts are somewhat cheaper by up to half the cost. To me, that is a factor but since you've acknowledged the price difference isn't much then consider the other factors.
You've already stated that several have issued a concern or problem with the remanufactured so do you really want to risk the purchase?
The Acura starter isn't a complicated install but if you do purchase the reman and it does fail you should consider what more time invested to remove it again and install a newer one. When I look at a job I factor what my hourly time is worth. So is it worth you doing it twice for the price difference of the part?
This wasn't mentioned but I consider it a factor. Some warranties I've seen for remanufactured parts are less then factory or OEM replacements. Look at the reviews and see if the starter fails at a certain point. Is it error by design possibly?