@HiaWalt
I’ve got NHS Oticon Xceed Play 1 Aids and I’ve been able to carry my phone in my back pocket and have no issues even when in the middle of no where.
My NHS Aids use Low Energy Bluetooth as well.
Bluetooth including Low Energy will always do better when it can bounce off walls / buildings so you may find Bluetooth works better in the house.
My Step Mum is just about to get the same Aids as you as she’s due an upgrade and that is what she’s been told she will get, Ambio S.
She’s currently wearing Oticon Engage Aids and again, has had no issues with Bluetooth.