I don't know about the other checksums, but a nice feature of the MD5 Hash algorithm is that it is designed to produce wildly different strings on the smallest difference. It eliminates the need to do side by side string comparison. If I do an MD5 Hash to compare files I just look at the first 4 characters in the string. I've never seen an instance where they match and the rest of the strings do not.
Anyway, to pimp my own version MD5Hash is available
here. It queues up files to a depth of 4095. You can right click a fairly large folder and let it go. I tried a hybrid single/multi-instance scheme, but it is quirky since window creation, which is the governing resource of single instance, takes to long to guaraantee only one instance. But if a copy is already open, multiple right click in Explorer sends the command lines to the open copy.
Unfortunately I don't have the source anymore to de-quirk it.