To answer this question: yes and no.
A fast acting fuse, let's say 5A @250V, will open quicker than a slow-blow of the same value.
The slow blow fuses allow for a transient surge of current....like when turning on a amplifier and the main large filter capacitors are charging up to full voltage.
Needless, if the line current is approaching the fuse rating you have a problem. The fuse is basically saving the power transformer.
However this discussion is moot since the original fuse is a slow blow type and it was open.
So this means you have a BIG short somewhere. Either main power supply or power amplifier stage has one or more failed components.
Do not keep trying to apply power, you already know there is a fault. Use a DMM and start checking the power supply and power amp stage components.
If you've never worked on a chassis the R-117 is a big-ass beast to learn on.....but there are threads on AK to search and gain some precious info.
--Joe