Re: Sorry, but ...
"between the ages of 7 and 10"
I was 6 when William Hartnell started (I can still remember seeing the first episode) but my favourite is still Tom Baker and I was 17 when he took over. He really livened up the show after the slightly dull Pertwee years.
I did quite like Patrick Troughton though, so maybe your theory holds some water.
All of the Doctors in the reboot have been excellent but David Tennant stands out. Hopefully Jodie Whittaker will continue the good work.
Caveat: I was out of the country during the Davidson/Baker/McCoy years and so never saw them. Might have been fantastic for all I know.