Does A Betta Tail Type Matter?

I'm planning on getting a betta fish, and recently started cycling a 4 gallon aquarium with anubias to get it ready.

I read somewhere that plakat bettas tend to need bigger aquariums since they move more and quicker than bettas with big fins like halfmoons and rosetails- is this true? If it is, what kind of betta would be best suitable for a 4 gallon?

Also, does anybody know any good betta fish sellers that ship to Israel? The bettas I've seen in the fish stores near me are mostly unresponsive and look sick...

 

Yes that is true. Plants have shorter fins which makes them more active than other fin types. In your tank I think a plakat would do fine, but you can really choose any betta you want.

 

Not saying that they are great bettas, obviously I haven't seen them, but the ones in your stores may not be that bad. Most bettas look kinda unresponsive and pale in stores when kept in little containers... Once given the proper space they color up and start swimming around. Mine was in a .5g at the LPS (a pretty nice filtered set up actually) and didn't move at all until he got into his new tank.
Now of course they may be ill fish as well, I have no idea where they are from nor how they are being kept, just saying!
As far as tail type...I think it's more a matter of preference!

 

The biggest fin one I have well my daughter has now is a dumbo ear with a full tail? He's in a 20 gallon and swims around. There's no other fish but he's pretty quick when he goes after a snail.

 

The plakats will usually be more active than the bettas with large fins.

Rosetails/feathertails are known for being prone to fin rot or tail biting and their water quality should be watched a bit more. They also are more likely to snag their fins on anything sharp in the tank.

Crowntails typically like their water a hair warmer. Black crowntails are the hardest to diagnose fin rot or melt with because it often blends in very well with their fin type.

Halfmoons and veiltails have similar issues to rosetails, but to a lesser degree.