Blue Origin aims to land next New Glenn booster, then reuse it for Moon mission

"We fully intend to recover the New Glenn first stage on this next launch."

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[EllPeaTea]

This has been mentioned in other articles with respect to landers toppling over, height, etc.
seeing the image of the Apollo lander above, it seems wide to account for exactly that issue. What is it about modern engineering that we’re not taking that approach, or is it purely just a limitation of the current size of the rocket the lander is being carried on?

It's mass budget. All of the current generation of CLPS landers are severely mass constrained. All their landing gear is fixed (the LEM had legs that unfolded after is was extracted from the S-IVB). The lack of mass (and subsequent amount of propellant) means they have to do very aggressive horizontal approaches, which means they don't get a good lock on the lunar surface early enough in the descent profile. The LEM was able to do a very conservative vertical approach as it had plenty of fuel.