I hate the casual denigration of part time workers as if we are expected to be grateful for being allowed to exist rather than being valid employees who are sometimes more efficient than full time colleagues.
Slightly different situation to you. I was a jobshare and we had a desk that wasn't particularly desirable - it was next to the stinky microwave - but its good points were that it was attached to the main table which was fun and sociable.
The other available desk was next to the window but had its back to us and even worse, was opposite the boss's deputy who was inane when she wasn't being a sneaky cow.
Both of us took a lot of calls for other work that we didn't want the deputy overhearing. Everyone else on the table could be trusted.
The first I knew of a swap was when I came in one Wednesday at the start of my week and at lunchtime the person in the Seat of Doom approached to tell me that our line manager had agreed to a swap if we were all agreeable and that my spineless jobshare partner had already agreed in principle 'subject to limited agreeing'.
He knew there was no way I'd agree and I was resigned to playing 'bad cop'. Hey ho. He could have fucking texted me though.
I was going to decline politely until she said... 'and Line Manager says it would make sense because you're "just freelancers"'.
Cheeky fucking mare.
I asked why she wanted to swap and she said hers wasn't a very good desk.
I asked if that was the case why on earth would she think I'd want to move there?
She said she didn't want to cause upset but petulantly cited Line Manager again.
I said in that case she'd better not mention it again because it was causing me a great deal of upset, but if she insisted we'd discuss it with Line Manager when he came back from the pub.
She stupidly did. I refused. Line Manager threw his hands up in the air and said we were impossible. Job-Share and I stayed put.
Stick to that desk like a limpet OP.