The answer is in the link you posted to the wiki.
I assume this is a simplex phone patch. Settings example at the end.Those are the only known settings.
You could try enabling the CT in the phonepatch command string in rpt.cof and should make it on the radio side.
We have always had to explain repeater phone patch to potential call’es even in full duplex.
Most ecom dispatch/911 are trained to know when you say ‘THIS A RADIO PHONE PATCH’ not to talk when you are as it is one sided.
But it is just a tough thing to do in a simplex mode. If it really is needed/required, I would suggest a full duplex radio system. VOX makes it possible on simplex, but that is not saying much for quality.
For nodes with duplex set to 0 or 1, Simplex Autopatch operation is supported.
This is accomplished by using a VOX on the audio coming from the telephone call,
because of the half-duplex nature of the node. To avoid having audio from the
telephone call keep the transmitter engaged for extended periods of time (if there
is some source of continuous audio), there are two time-out values. One is the
Vox timeout, which is the maximum amount of time that the VOX can hold the transmitter
engaged, which by default is 10 seconds. The other one is the Vox recovery time, which
is the amount of time that the Vox is disabled during times of continuous audio, after
the Vox timeout, which is 2 seconds. So, during continuous audio, it transmits for
10 seconds, then stops for 2 seconds (so that you can transmit to it and perhaps
disconnect the call), then transmits for another 10 seconds, then stops for 2 seconds,
and so on.
Additionally, to prevent ‘chop-off’ of the first syllable or two of the audio from the
telephone call, we delay the audio to allow for the transmitter to start transmitting
and any CTCSS tones to be decoded. This delay is typically 500ms, but can be adjusted
via the ‘simplexpatchdelay’ parameter. It is specified in units of 20 milliseconds.
These time-out values may be overridden by using the following configuration parameters
located in the  section of rpt.conf:
voxtimeout = 10000 ; vox timeout time in ms
voxrecover = 2000 ; vox recover time in ms
simplexpatchdelay = 25 ; Delay for transmit while in patch in 20ms increments