To be fair, he might have just cut off the cable down to the fan, pulled it up and made the connection to the inline fan. If that’s the case I’m not sure many electricians would do a minor works for that.
My concerns would primarily be whether the work has been done to a good standard. The issuing of a minor works certificate is probably not too much of an issue given that it’s probably not notifiable being in England.
The only advantage of the certificate is if you came to sell the house and a very switched on surveyor saw it as being modified and the solicitor wanted confirmation that it was correctly carried out.
I would also guess that he’s just made the connection and not done any testing anyway so he’s probably got nothing to put on it.
If it’s not notifiable and he isn’t required to be part of one of the “schemes” ie NICEIC, NAPIT, ELECSA etc. and if that’s the case he’s under no obligation to do one.
My view is that if you can take a look at what he’s done and you’re happy with the workmanship it’s not worth falling out with him over.
If you want to post photos I’m happy to give an opinion on it.
Rich.