Yes. You have hit upon the metaphoric meaning of מגבר as both 'speaking' and 'wilderness'.
The wilderness is a secondary metaphor. Like 'Waterloo', place is used for a metaphor of an activity that takes place there.
An interesting study would be to find any outliers: are there accounts of someone going to the 'wilderness' and not speaking to God in the literal or sensus plenior?
Looking at the formation of 'midbar' מדבר using Rabbi Eliezer's rule 30 Rules of Rabbi Eliezer
מ-דבר from מ speaking דבר, or father מ speaking דבר
מד-בר being measured מד the son בר
מ-ד-ב-ר the father's מ command ד revealed to man ב as the Word ר
מ(דב)ר Bitterness (death) מר with mutterings דב or the command revealed to man ד-ב at the heart.
There are three events which are 'revelationally' related in the sensus plenior because they represent the son offering a sacrifice in the desert:
Moses was told that he would be like God to Pharaoh and Aaron would be his mouthpiece. (the word 'kiss' נשק also means 'burn').
Ex 4:27 And the LORD said to Aaron, Go into the wilderness to meet
Moses. And he went, and met him in the mount of God, and kissed him.
Israel was called the son of God. They went to the wilderness to sacrifice to God.
Ex 8:28 And Pharaoh said, I will let you go, that ye may sacrifice to
the LORD your God in the wilderness; only ye shall not go very far
away: intreat for me.
Jesus was tempted in the wilderness. He was obedient to God, and obedience is the better sacrifice.
1Sa 15:22...Behold, to obey [is] better than sacrifice, [and] to
hearken than the fat of rams.
Who did they go into the wilderness to hear? The father:
מ-דבר from מ speaking דבר, or father מ speaking דבר
Who was being measured? The son:
מד-בר being measured מד the son בר
Who was being revealed to the world as the Word? the Incarnate Torah? Jesus:
מ-ד-ב-ר the father's מ command ד revealed to man ב as the Word ר
And what is the picture of Christ's death in the wilderness?
מ(דב)ר Bitterness (death) מר with mutterings דב or the command revealed to man ד-ב at the heart.
Aaron burned (offered himself) to Moses
Israel offered sacrifices to God, all of which are types of Christ.
Jesus was the stone that was rejected , which became the bread that we eat at communion.
Jesus had already cast himself from the highest place in his incarnation and would descend to the lowest place in his death.
The ideas presented here are foreign to many Christians but are common to Jews.
Hebrew words derive meaning from the meaning of the letters.
See SMS's answer here: https://christianity.stackexchange.com/questions/69442/whats-the-origin-of-this-approach-of-trying-to-obtain-meaning-from-the-individu
Sefir Yetzirah "some early commentators treated it as a treatise on mathematical and linguistic theory as opposed to Kabbalah." https://en.wikipedia.org/wiki/Sefer_Yetzirah
Any book on Kabbalah, which I do not endorse. What's is observable is that belief that the letters have meaning.
Current works by https://www.linkedin.com/in/rabbircklein/ who is attempting to coerce the meanings from the letters.
This is the one which I am currently testing. https://sensusplenior.net/wiki/Pneumnemonic_Hebrew_for_Beginners using the rules posted here: What are the strict set of rules followed by sensus plenior?
I am currently collaborating on a Dictionary of 'Gates'; two-letter sub-roots.
John demonstrates a knowledge of this in 1Jo 5:7 Where heaven שמים has three consonants (yes and one vowel) which mean father מ, Word ם and Spirit א. And earth ארץ having Spirit א, water ר, and blood ץ. Naturally he translated into Greek for the emerging Greek church which did not have a background in Hebrew.
Works and lectures by Rabbi Benjamin Blech https://www.rabbibenjaminblech.com/