I'm running a PJ38 on my stock bore stock stroke drag engine with a power jet..... I'm willing to sacrifice ALL low end power for top end power because it's a drag engine....
LA sleeve recommends the 36mm carburetor for good reason, it's a darn good carburetor and the right size for that engine combo.
On a hefty ported big bore kit, a small carburetor will actually restrict the engine at top RPM because it simply cannot pull enough air in through the throat (the hole's just not big enough)
You CAN damage an engine by having too large a carburetor (but it's really unlikely) Putting a 44 mm lectron on a completely stock blaster would result in the main jet not having a strong enough "vacuum signal" and failing to draw fuel up from the float bowl to match the incoming air (to keep the mixture right). OBVIOUSLY, this is an exaggeration because no one in their right mind would put a 44mm carb on a stock blaster....
Keihin isn't the only make of carburetor in town either, the Mikuni TM34-38 carburetors are also fine 2 stroke carbs and can be had relatively inexpensive HOWEVER getting jetting help will be harder as most folks run Keihin carbs (either the PJ or PWK).