Does your washer smell of oil also?

I mean, if you raise lid when  empty you can smell oily odors?

Do not know much of Maytags but my GE used to have oily smell once when I discovered a small oil leak under the agitator on the shaft, oil ran all over the inside of agitator making it black, I just lightly pushed the seal back in place with an hammer  and leak stopped, and still working fine, but maytags have different drive  shaft assembly so not sure where you have to check.....
The first  test for an oil leak  without taking tub apart I think would be to fill washer with warm to hot  water only (no detergents) would be good  if after a rinse to avoid dust  or  fresh softener residues being confused for oil,   and let water to set for awhile, if you will see then a little layer of oily water it means a little oil is getting in the tub, not much to stain your clothes so much yet but it may get worse....
Not sure where you have to check on a maytag for oil seals though....

My leak  I think was due to machine that was putted upside down to be fixed a month before usually oil cannot reach that high, anyway GE FF have another seal just under the basket blocks, if it breaks woul be total panic as water would enter in transmission first and push oil out, also ruin tranny.
Will search for you in searchalator  trying to find something similar to your prob.

here someting about leaks is said:

Yes of course! Maybe it is nothing but a bad combination of detergent+softener getting an oily smell...it may happends, if i use Dash powder when using my store brand softener I get a very strange smell reminding of oil! Really!
Anyway i can't do nothing but being with you , almost all of the washers they sell now are not worth to be called washers!

As for all the others modern appliances now are junk, but this is well known! ;)

Good luck!!!

If you can, try and see if the agitator will pull off. If you're lucky, it will. Check and clean around the stem and base of the agitator. Sometimes goobers will accumulate under there and build up.

Using liquid detergent, especially during consistent cold washes, will cause some build up to occur overtime. This is especially true if your cold washes are under 80F.

Buy a small case of powder detergent, crank up the water heater, and throw a good dose of powder detergent in the tub with some REALLY hot water.  Try and use the powder detergent every time you wash a load of whites, with of course, hot water. Hopefully, it'll clear itself.