Every Jewish child has a right to decent shoes to go to Shul on Shabbos, just as every Jewish child deserves a nice suit on Seder nite. Period!!
If a Jewish child is not dressed according to these standards, they qualify for Tzedokoh money to procure these. If possible:- The donor should take the child to the clothing store, thus assuring that the money doesn’t get utilized for some other use, if the donor is Makpid to help the child get proper attire for Shabbos/Yom Tov.
I have already taken adults to a store to procure clothing thus being sure the money went on clothing them properly and not then being diverted to another cause.
BTW I don’t know what id the difference between Shabbos & weekday shoes, as I wear slip on leather shoes 363 days a year.