Wow, Richard! That's sort of like saying, "Don't replace that fan belt on your car. You could put that money toward a new one."
Maintenance is part of owning any complex piece of equipment. Automobile, piano, pipe organ, etc. Each part of the piano has an average useful life. Hammers are usually the parts that need the most regular attention outside of standard tunings.
But strings have a useful life as well. And they can be replaced to bring the piano back to its proper level of performance. Churches offer some of the most harmful atmospheres for a piano. Usually temperature and humidity control is not used regularly, but only on service days. So wild fluctuations are common. This will cause a need for more maintenance than a similar piano kept in a climate-controlled home.
As long as the fundemental structure is sound (rim, soundboard, bridges, action, pinblock, etc.) it's as silly to toss a piano with dead bass strings as it is to toss a Mercedes that needs new brakes.
Point taken. But please allow me to suggest that your fan belt analogy is more similar to saying 'don't replace that single broken hammer shaft........(etc)'. Restringing is more akin to completely rebuilding the engine, and unless the car has antique value not many would bother to do this. It might make the car run for another 100,000 miles, but by that stage so many other things would need replacing that you might as well have gone for a new car in the first place. Furthermore, if you do rebuild the engine, then your engine may well run like new but overall the car would not feel like a new one. Of course, there are exceptions, but in my experience of typical church pianos, restringing wouldn't, to me at least, look like a worthwhile pursuit.
If the bass strings are 'dead' to the extent that you scarcely know what notes you are playing, as was suggested, then the piano is likely to be rather old, and probably has not been kept in a good environment. The bass strings wouldn't be likely to deteriorate far more rapidly than any other part of the instrument, so thus I reached my opinion. Bear in mind that a piano does not get better with age - even a very expensive instrument, not in my experience at least.
However, restringing the bass on a worthy instrument will make quite a difference to the sound. I had to fit new strings to an old piano of mine, on account of breakages. The new strings sounded much brighter than the adjacent 25-year-old strings. That said, it would probably not have been worthwhile having a complete restringing job done on account that the cost would have exceeded the worth of the piano.
If you have a fine high-quality piano which is around 25 years old or so, and you wish to keep it in tip top playing condition then you will discover that a restringing will do much to restore the tone quality of the instrument. An enthusiast may even consider replacing the strings more frequently. But on a 75+ year old church piano, quite possibly donated from someone's shed, and of average quality when brand new, is it worth it?