A 4" Apo won't go any deeper than a 5" Newt. It might be a touch sharper on planets. It will be lower maintenance. But it won't be much different on DSO.
A much bigger change would be an 8" Dob. That would be more of a dramatic difference.
I have owned a number of 130mm F/5 Newtonians.
That really depends on the particular 130mm F/5 Newtonian. If the optics are of good quality, if it is properly collimated and has fully cooled, then it might give a 4 inch apo/ED a run for it's money viewing the planets. At this point, it's not clear what the 130mm F/5 we are dealing with it. Is it Celestron with a spherical mirror? Some of them do have spherical mirrors. Cool down, even in San Diego's mild climate, that takes a hour to be more or less cooled down. And collimation....
A 100 mm apo, it does not have these issues. You take it outside, it will be immediately giving you very good views, nearly it's best and soon enough it will be giving you the best.
I own both 80mm and 102mm apo/ed refractors. For the planets and general all around observing, the 102s are more satisfying.
An 8 inch or 10 inch Dob is more capable but comes with it's own hassles. I love my Dobs but if I lived in London, I would probably spend most of my time with a 4 inch or 5 inch refractor.
Jon