That's a circular explanation, but maybe I'm reading it that way because we aren't aligned on what 'consumption' means. For a durable good like a house or a couch I think it would be something like expected service life / interval * over-or-underuse multiplier.
The interval technique makes sense to me on goods that are used over time or taxed over time. You can pay for a house all at once, and if you were only paying property tax once I think I would agree with you that the tax is consumption tax. Yet property taxes are annual, so in order for property tax to be a consumption tax we would have to enumerate how much consumption is occurring during that year.
Consider something simpler, like a sofa. We both buy the same sofa with a service life of 10 years. Did we consume the sofa when we bought it? Or do we consume it over its useful life? If I jump on the sofa daily and it lasts for 1 year, I've consumed it in a year. If you barely sit on it and it lasts you 20 years, you've consumed it over 20 years.
Does that make sense? How are you defining consumption?