Why Don't Christians Memorize the Bible?

Muslims often point out how so many of them have memorized the Quran.
They will point to some story a six-year-old somewhere who can recite the entire Quran, or how many Muslims Hafizs they have met (a Hafiz is a person who has memorized the Quran).

However there are also stories of people who have memorized the Quran and have no particular insight what it actually means.  There even a video of a parrot reciting the shihada.

The Bible has no mandate to memorize it.  Instead we should try to grasp its meaning and apply it in our life.  It is most important to understand the truth, but not necessarily at a verbal level.
A person may be able to fix a car but this does not mean that he can recite the specifications about it.

Here are some verses that instruct us to "meditate" on the Bible over memorizing it:

⁸ This Book of the Law shall not depart from your mouth, but you shall meditate on it day and night, so that you may be careful to do according to all that is written in it. For then you will make your way prosperous, and then you will have good success.
(Joshua 1:8)

¹⁴ I rejoice in the way revealed by Your decrees
as much as in all riches.
¹⁵ I will meditate on Your precepts
and think about Your ways.
¹⁶ I will delight in Your statutes;
I will not forget Your word.
(Psalm 119:14-16)

I believe that the Hebrew word for "meditate" is means "to mutter", or "chew the cud", as the cow does.

Here is a direct admonition from the New Testament that  does not mention memorization of the Bible to Timothy, a minister of the Gospel:

¹⁵ Be diligent to present yourself approved to God, a worker who doesn’t need to be ashamed, correctly teaching the word of truth.
(2 Tim 2:15)