Apart from all the other issues this is what would concern me
I do sometimes get the sense that he sort of leaves her to it and gets on with what he's doing (obviously keeping her mostly safe, as no serious harm has come to her), few bumps from climbing up and down furniture etc.
I had VERY active toddlers and if I thought a childminder was "leaving them to it" at 14 months old, to the extent that they climb up and down furniture and have had "a few" bumps from this. I would sack them and find alternative child care.
This is because she's had "bumps" yet this has been allowed to repeat. Its' passed of as just normal. Yes toddlers do occasionally bump into things but this shouldn't just be shrugged off if it happens regularly.
Toddlers don't have any safety awareness built in. Very active ones need to have your eye on them all the time and nip in when it looks like they might hurt themselves.
If your Dad is still carrying on "leaving her to it" and minimising this, that is not looking after her adequately. That is going about his daily business expecting a 14-month-old to entertain and keep herself safe whilst he does chores.
My very active toddlers would have been stir crazy in a place like that. They needed regular exercise, play, reading, interactions etc. I can clearly remember the amount of times I had to step in, in the nick of time, so that they didn't hurt themselves and that means being present and making keeping a close eye on them. That is why so many parents complain of their house being a mess when they have small children - because there is literally less time for chores when you are supervising them Climbing furniture whist being left to get on with things is a sure sign that she is not being properly supervised.
The current set up with an adult who "leaves them to it" is lonely for the child and lacks stimulation - just at the point when they are exploring and need it the most. Looking after children is a hard full-time job.
You need someone who will focus on your DD , keep her safe and happy and its very clear your dad is not suited or equipped to be an 8-5 x 5 day-a week carer for her on his own. That's what nurseries are for.
Please contact Maternity Alliance or similar for advice on how you can get tax relief on childcare or other childcare costs refunded. It may be more affordable than you think.