I don't have an example handy (looking right now) but I was taught that you can transmit voice over some VORs to contact Flight Service.
You can't tune a VOR frequency on a communications radio. VOR receivers do not transmit.
You would transmit on a specified frequency, usually 122.1 IIRC, and listen on the VOR frequency. This was used when transmitters were expensive. Instead of adding an additional transmitter to the VOR station for the remote communication outlet (RCO) to FSS, they'd add a receiver tuned to 122.1 and the FSS specialist's transmission would be added to the audio transmission from the VOR. It allowed them to establish more RCOs for their given budget.
VORs used to also transmit HIWAS weather broadcasts which were a taped loops of weather updates that could be heard on the VOR frequencies. Again, this piggy-packed onto the existing VOR transmitters and provided a cost effective method of distributing weather information. HIWAS service was discontinued in early 2020.
So in that case - if the FSS specialist had a voice which happened to be the exact same sound as the morse ID (just humor me), would their voice be filtered out unless you pulled the ID knob?
People do not speak within a very narrow frequency range. The morse code is a very specific frequency and can be easily filtered out without significantly effecting the ability to understand the voice transmission.
Remember that there are two frequencies involved. The radio frequency (RF) of the broadcast such as 114.10 Mhz and the audio frequency in the audible range, generally 20Hz - 20,000Hz, though the VOR receiver's audio frequency range would not be that great. The sound (audio frequencies) are encoded onto the RF carrier by the transmitter then decoded from the received RF by the receiver. Once decoded, the receiver can filter out, or boost, any particular audio frequency range similarly to have an equalizer works on a stereo system.
The identifier tones are 1020 Hz ± 50 Hz or 400 Hz ± 25 Hz. The spoken male voice is typically in the 85 Hz to 180 Hz range.