Actually, I found out this was not true - at least for eSavings. I keep all of our money in the eSavings account and set up transfers in expectation of paying bills. However, a few weeks ago I tried to set up a transfer and I got an error that indicated that I had 'exceeded the limit of transfers' for the month. I called the bank to have them override it and was told that it was not possible as there was a 'federal limit' on the number of internet and phone transfers. The only option was to go into a Citibank and do the transfer in person or at a real citibank ATM (not 7-11). It was quite iritating, the limit is 6 and there is no counter anywhere. The month is based on your statement month.
Other than this irritation (and the fact that I signed up when it was 5%!) the account has been great, very easy, instant transfers and since our mortgage is with citimortage I instantly transfer my payment.