I injured myself today, so I have been hung up in bed (getting old sucks) and I decided to do as you suggest and look up Indium as I had nothing better to do. It took me a few hours but I looked through the last 28 years of USGS pricing data, I found a spot price for it online for a representative 2019 price. I also read a couple reports on the element.
Here is what I see for Indium prices over time (1991-2018 & Jul-19 spot):
peaked in 2006 at $850/kg;
began to fall dropping below $500/kg in 2009 before recovering, but
never cracked the low $700s/kg before resuming its fall;
price bottomed in 2016 in the $200-300s/kg before rebounding slightly again;
As of 2018, the last year there is USGS data, it was in the $300s/kg
The current bid/ask spread for it was from the high $200s vs low $300s today.
That price pattern is not indicative of a bottleneck or shortage of Indium. Basically it is trading just off the lowest price in 12 years and is back to where it was priced in the late 90s.
Just for contrast, gold trades today over $50,000/kg; silver is at $580/kg.
Indium is not an expensive element.
Yes, Indium is used in flat panel displays and demand is going up. It is also so cheap its used in solder since the adoption of RoHS. Those are the #1 (FPDs) and #2 (Solder & alloys) industrial uses for it.
But the market for Indium is quite small for an industrial metal, around 1000 tonnes per year worldwide. (For contrast, silver industrial uses run to about 17000 tonnes per year, plus there is a nearly equal amount demanded by consumers.) USGS does not provide estimates of Indium reserves. Ore abundance estimates range from 165 to 394 ppm; near that of silver; maybe more, maybe less. We don't know.
Looking at all this, my bottom line conclusion is:
Indium is an industrial commodity with small demand that has seen plenty of price volatility as many commodities have over the last two business cycles. Its relative scarcity may hold back adoption of Indium on a wide scale (e.g. in photovoltaics) but does not impede on current uses in displays or solder.
I can't see anything particularly worrisome about Indium. It’s the same price today it was 2 decades ago.