I do find learning fun! It's one of the things I like about my job (some of the other bits, not so much).
"Having a science activity book that you sometimes use with your child when you both feel like it is not particularly pushy. However, "Insisting" on additional "studies" every day for a 5 yr old even though they are 'reluctant' and you believe that 'learning is not all about fun' is pushy and very unusual, yes."
That's kind of my gut feeling as well. I have absolutely no problem with primary school kids doing "academic" type activities at home aside from set homework - I was the kind of child who asked for and spent hours stuck into a Junior Science Encyclopedia, I went to (ahem) gifted child camp, I did computer classes, I grew crystals with my chemistry set, I regular attempted to "write a novel", but I did all these activities because I was interested in them and asked to do them, not because my parents thought I "had" to or they would be "improving", or I had to do them for my own good before I was allowed to watch telly or anything.
The only non-school thing where I remember getting a bit of parental push was music practice, and that was more of the "but you really want to play the piano and you asked for lessons and you need to get through this bit so you can do the fun stuff" variety rather than "you need to learn the piano".
(actually - REVEALS SHAMEFUL PROG CHILD PAST - the exact words used were "I bet Rick Wakeman did his piano practice. If he had not done his piano practice he would not be able to play that music about King Henry VIII.".)
(also I am now in a band. I do not sound much like Rick Wakeman.)
Oh, and DS1 is 5 and has a small amount of homework. We do that, and if anything else interesting comes up in terms of reading, etc., that happens too, but I don't have "set learning time" outside of his homework.