No it wont,

Stash aps also unlocked as soon as u make new Seasonal.

BUT my suggestion is not to transfer the editing tools if you toggle on "set as main house"

Its just a simple toggle in settings allowing to set visits and house button (in menu's) to visit the selected house on ur account no matter the alt u play on.

Its entirely up to you to get a new deed for ur seasonal and get the house slots on it.

So if u didn't set any house as main. U wont be redirected.

If u do set it as main and the "extra character" already has a deed.
It will send u to the house of the "extra character"
Regardless if u set it ur "main accounts" house as main or not.

Craft up and remove the house deed from ur alt and automatically ur "set as main" house will be visitable by house button or /v command.

This means if u want have seasonal u still need the deed aps and house slots aps same for locations etc.