Egg beaters don't have tension adjustment. But I've never missed it.
I run EB on all my bikes, but if I were to start over, I'd go with Time pedals instead. EBs are great at mud/snow clearing but needs a surprising amount of upkeep for being pedals. Not that its either difficult, expensive or hideously time consuming. But it is one more chore that needs to be done regularly.
If I didn't encounter mud or snow I'd probably stay with Shimano instead.