Good start, but intended to be a this to that type of theory type of thing. So if I'm correct with the above answers, latex caulk while not optimum should work if it's dispersed properly correct? Well thought out responses - in theory it could work... sufficiently.
How about silicone based caulk in a similar way?
Next question in a similar way to the above, how about latex paint verses various forms of oil based paint as a glue by way of the binders in the paint between layers of the plywood and foam? Could two layers of paint - various types work sufficiently as say a glue or contact cement?
How about rubber cement?
This is intended to become a sort of theoretical type post - give your thoughts on the question and challenge the others to another "this to that" type question. Doesn't have to be foam to plywood, could be
burlap to say felt or any type of lamination question. Sort of a mind tease that's hopefully active and curious. This beyond or including the well troden posts about the abilities of say liquid nails to stick or not stick to foam dependant upon what lot number it is. More get into the theoretical side where possible... say beer or soda as a better paint thinner type concept.
Something like along with
Gorilla Glue, there is a new style of
gel super glue out there. How well will it bond nylon say as a nylon end termination to the
wire rope push/pull mechanism of a trunk/gas
cover reliese in all forms of temperature and dampness but definate tension/compression stress to the joint? Say the nylon piece broke in half.
Or say compare and contrast question
Gorilla Glue verses
gel super glue for the above applications.
Than of course if wished such as the above
green glue or foam panel adhesive or blue contact cement... products that would more properly do the task one could mention. Not so much as a better solution as if the questioner were asking how to do it best, but more as a side note on what's really recommended.
By the way, the above website is very useful.