No, the inducer is made from plastic and if it had a hole then lots of water would be leaking. The rusty water ran down the inducer from behind and is very small and normal. Unless you can post a CLEAR sounding recording of the sound then I cannot tell what it is. 100% of the inducers I replace if they are noisy will do it all the time when running so it sounds a bit suspicous that yours only does it on startup but anything is possible. I have worked on thousands of those units (very popular seller) and there have been no problems like yours but anything is possible.
"Cut it twice and it is still too short".
YURI..pardin me for interrupting. Just wanted to thank you for the info....I live in a small village with a small lot so, geo thermal not feasible..mid Ontario so, quite often get minus 15 C but will do more research before I do anything. 25% savings will take 6 years to pay back. THANKS AGAIN