According to one answer on this question at Genealogy and Family History, a restorer of prints will often ask a customer to scan a print for restoration at the customer's scanner's highest resolution, usually 1200 ppi or 2400 ppi.
However, my scanner has a maximum optical resolution of 1200 ppi.
The question I have is, if I came upon a print showing signs of age/damage, is it even worth it to invest in a scanner that scan at a higher resolution than my current scanner, so that I could scan at 2400 ppi?
Would a professional restorer be able to produce a better print had I decided to scan the old/damaged print at 2400 ppi vs 1200 ppi? My inclination is to say yes, but I realize that there are diminishing returns when scanning at higher resolutions, after a certain point.
I'm mainly talking about analog family photographs and portraits, rather than scanning 8mm film/slides, which would require specialized scanners.