Does the Riemann Xi function possess the universality property?

Here is the question.

Does the Riemann Xi function possess the universality property,  or something similar to Voronin 's universality property?

This is the reason why the answer to this question is important.

Up to arbitrary precision,  any function can be approximated by some vertical translate of the the Riemann Zeta function.  The universality property is also possessed by many other classes of functions (see below).

http://www.lama.univ-savoie.fr/etzetas2018/voroninSHORT.pdf

Does the Riemann Xi function possess the universality property?

The universality property can be formulated in terms of the modulus of the Riemann Zeta function. Up to arbitrary precision,  the modulus of any function can be approximated by some vertical translate of the the modulus of Riemann Zeta function (Voronin universality implies modulus universality).

We assume that the Riemann Xi function has the universality property (the modulus formulation, on the right half of the critical strip ).

Now we consider the following result :