Mostly yes but Not exactly.
Yes you are likely to get approval if it’s a well recognised aircraft engine, even if it’s not “certified” BUT it’s up to the AP.
Herein lies a problem for some. A conservative AP May be more restrictive if the well known aviation engine is known to be at higher risk of failures. ( even if there is not CASA rules in place like for certain Jab engines.) it’s up to the AP.
But if one AP ( the first) won’t approve it then hunting around for another may be unsuccessful because you could understand the seconds reluctance to counter the first, because if an accident happens there’s a lot more explaining to do as to why he countered the now obviously correct opinion of the first.
There’s another thing too. When an AP takes on the qualification they have the option of not being approved to certify anybody to fly over built up areas. It’s a legal option some have taken. (Our Chapter AP had that restriction and it took a couple of people by surprise and caused some issues)
As for lanes of entry they are not paths where a pilot can go without approval to fly over built up areas. They are not and never were meant to be for this purpose. They are navigational routes, aids to conflict avoidance and separation, and sometimes are for sensitive area avoidance and noise abatement.
If you have no approval to fly over the built up area you can’t use either the fact it’s a VFR route or ATC directions as a reason to fly there.