I think the coin in the link is "16 rose 44". 16 followed by mintmark rose followed by 44 (rather than 1644 on left of mm.). I did post the wrong link initially but have corrected a few minutes afterward initial posting.
Yes I agree with the above, very difficult to price a holed coin, near impossible I’d say? Speaking for myself, I don’t think I’d even gap-fill with a holed coin…I don’t think?
Instead I’ve simply come to accept the fact I’m never going to complete ANY series. Sad but true!
It is a difficult question to answer to answer as there is no market price for a holed coin. In my opinion, it is worth whatever someone is prepared to pay for it on e.g. eBay.
A lower grade example (without hole) was sold by Noonans in 2020 for £750 hammer. https://www.noonans.co.uk/auctions/archive/lot-archive/results/370743/?keywords=1644+shilling+exeter&discipline=&category=&date_on=&date_start=&date_end=&lot_no=
I personally would always choose a lower grade or more common variety than a seriously damaged rare variety.
Uggh, I bid on that one and don 't know where it ended up but figured out the opposition was willing to go much higher and so dropped out at the end. I did end up with Gerald's 1869 that was a beauty....