[vertline3]

"if there is an issue, and what is the main issue of using the syntax of Lambda calculus as the basis of a programming language"

have you used scheme?

From wikipedia

"Scheme is a very simple language, much easier to implement than many other languages of comparable expressive power. This ease is attributable to the use of lambda calculus to derive much of the syntax of the language from more primitive forms."

[mimixco]

Scheme is a Lisp. And so is Clojure and probably 20 others. Wolfram Language is a Lisp with M-expressions (gag).

[vertline3]

Correct, scheme is like a minimal flavor lisp.