The 7030 synchro is almost too flexible. You need to pick both the
filter bandwidth and move the passband to use it effectively. The radio
remembers the last shift you used as well as the filter, so when you
plop it into synchro, it might actually be set up inappropriately for
the new signal. It makes sense to save the last settings for most modes
in the radio (LSB, USB, whatever), but I would have put something in
the firmware (or at least an option) to pick an appropriate set of
starting conditions when you switch from AM to AM synch. My guess is
the designer figured the kind of person who uses synch uses it all the
time, so they would stay in synch mode and use the automatic synch
feature. I prefer to search for signals in AM, then switch to synch if
I think it is appropriate.