Constantine, I skimmed over the MAX3222/MAX3232/MAX3237/MAX3241 Datasheet and noted the following quote:
The MAX3222 features a 1μA shutdown mode
that reduces power consumption and extends battery
life in portable systems. Its receivers remain active in
shutdown mode, allowing external devices such as
modems to be monitored using only 1μA supply current.
Perhaps this is the chip you need?
Personally I would not feed true RS232 voltages/currents into an un-powered chip without knowing how those nodes will react while the chip is un-powered. RS232 sources enough current to drive multiple LEDs in parallel. One thing is obvious, as proven by your tests. That would be that (despite the RS232 current capabilities) those MAX RXD inputs present a very low impedance "when the chip is powered down". There really isn't any other logical explanation to your loading problem.
This discussion has addressed the old age of RS232 along with the fact that it has become as rare as Hen's teeth on newer PCs. This has forced those of us that still love it's simplicity to use USB/RS232 converters. I own a host of them. Nearly all of them contain the popular Prolific chip. A few months ago I added a few of these to my collection.
http://www.ebay.com/itm/USB-2-0-TO-...447983?hash=item3a88eeb32f:g:XloAAOxyUrZSr1oN
I really like this concept because the user and the chip never sees or has to deal with the high voltage and bipolarity of RS232. This is essentially TTL(USB) IN / TTL OUT. No pump charge caps are employed or needed.
These modules come in two flavors but I chose the Prolific PL-2303HX based module. The other one, (which I forgot the name) uses another manufacturer's chip, has a bad reputation when downloading their drivers. They intentionally brick the chip if it detects a Chinese clone.
Chris