Years ago, a housemate ignited something I'd rather not discuss by applying 115V AC to a tiny diode. I think I saw him try this with just the diode first, which promptly exploded. Of course, that kind of voltage outside could be a problem.
Not quite as far back, I saw a carbon composite thing*, which will remain unidentified, fall across some high voltage wires. There was the most amazing 60 cycle hum, and then a little mushroom cloud. A lot of the epoxy just vaporized, but a lot of the carbon fiber survived, some even intact. So it was natural that I thought of carbon fiber when I wanted to make my own motor igniters. I want them with tiny leads that can go through a 1 mm hole, so I have been trying different things, all with 26 gauge magnet wire or smaller leads. A quarter inch long piece of carbon tow can have several ohms of resistance and withstand lots of current. (It may be that different types vary.) If the current source can put out enough amps, I suspect that no pyrogen at all would be required. If you're using tow, wrap the wire around it. The fibers are so rigid that if you try to wrap them around the wire, they break. I have some old uni prepreg that expired and cured on its own that is much easier to wrap wires around, since it doesn't flex all over the place.
In my particular application, I want to be able to yank the wires out, but for a normal rocket, I don't think that's relevant, so wire wrapping ought not to be all that much of a problem. Soldering two pieces of 26 gauge or smaller wire in a lap joint, so they can be pulled apart when hot, is a bit fiddly.
How much current can the usual power source at rocket launches put out? If it's a reasonable number of amps, I suspect that carbon makes a superior bridge wire. And maybe doesn't even need pyrogen in many cases.
With the lithium batteries and super capacitors we have these days, I should think an on-board, powerful 12V ignition current ought to be possible even for the ejection charges.
When I had an Estes type rocket I'd built some years ago, I used a gel cell and a piece of an extension cord to apply voltage to one strand plucked from the same cord. No pyrogen. It worked ok, though it was probably critical to have the wire actually touching the propellant.
Nakka-rocketry.net has several discussions of several types of igniters, some of them requiring very little current. As in, refrigerated, tired 9 volt battery. I'm kind of in favor of high current and 12 volts. Recently, in tests on my Jetex motors, I've been using a 3 cell, 1400 mAh lipo. Plenty of current and more than 10 volts. Doesn't weigh much, either. If I was going to buy something just for that, I might get lithium iron phosphate, as I think they're supposed to be a little safer.
*Not mine. And I was fortunate enough to be a couple of hundred yards away.