MDMA is converted (in part) into MDA by the body, which does have hallucinogenic properties. High doses of MDMA will certainly give you visuals, I've experienced the classic "Everyone is wearing sunglasses" MDMA visual.
Pills are cut with a lot of things, but usually those things make up the bulk in the pills, ie they are also white powders like Meth, MDEA, Ketamine, Amphetamine, sugar, PMA, DXM and other things. LSD has such a freakishly tiny dose (like 100ug, 1000 times less than a good MDMA dose) that it'd not be worth adding it to pills. You'd not be bulking up the pills and you'd be wasting money since you could make more by selling that hit of acid as acid.
If you are confident LSD is in pills then please link to a test that confirms it, or give a logical reason as to why they'd add LSD that counter acts the logical reason I have given as to why they don't put LSD in pills.