Do I need to inform immigration of my accommodation upon arrival in Thailand with a 60 e visa?

No, you don’t have to do anything. The legal requirement is for the place you are staying to notify Immigration of any foreigner staying there. Hotels generally do it automatically online. If you’re staying in rented accommodation such as a condo then it is the owner/agent of that condo that does it. If staying with Thai family then they should do it.

If you don’t intend to go to Immigration for an Extension then you really don’t need to worry about it.

If you are going to Immigration then they might fine you (though it should be the property owner) for it not being done.

At the airport you theoretically need to have proof of accommodation to enter the country but I’ve never been asked in 36 years of visiting Thailand.

Yes technically all foreign Nationals have to have their address registration within 24 hours of arrival.

It's called a tm30, if you are in a hotel it is usually done for you.

If you will just be leaving the country after 60 days, it likely won't matter if you are registered or not.

If for some reason you are staying longer, you may run into problems if it is not done.

It's always advisable to have proof of where you'll be staying the first week or two but they almost never ask for proof.

Just make sure you hand them your printed evisa and after you step away from the counter check your passport to make sure they gave you the correct stamp. You should always do this as it's very easy to fix a mistake immediately but much harder to fix it afterwards.