Analog sounding? You're the first person on the internet to state such thing, you've obviously not heard a NOS TDA1541/43/47 or Crown DAC before be it by itself or in one of them TOTL vintage CDP's. Why do you think some of the most hardcore audiophiles out there still run old CDP's and NOS DAC's that sport those old Philips or Burr Brown PCM IC's?
My description of the classification I've written above isn't what you're misinterpreting, for example, either of the family of DAC's can of one or possibly more of the fitting description I've written, I didn't group ESS Sabre's as all of the above description, it can be either neutral or clinical sounding, or both.
I agree with you on this. If you spend big on dacs - digititus is significantly reduced...if I was on a budget though - I would track down a good nos dac.
Having said that - I don't think amping the LCD2s for power is a big issue with todays current crop of amps. Get a good one and the LCD2s reward with better dacs - in big ways. But I am firmly in the source first crowd.