I wouldnt have a problem with it, personally I've always called my mum and dads partners and families by their first names but thats just my preference and they are very much family as much as my biological family. I quite like the idea of affectionate family terms but we arent really like that as a family.
Your partners feelings about this may be more about worry he's going to be forgotten etc not saying that you would be excluding anyone but people react odly to separations etc especially with kids involved.
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