In the realm of modern challenges, the matter of health care stands as a potent symbol of socio-economic disparity that pervades societies globally. It is an issue that unites the fates of both the rich and poor, albeit in staggeringly different costumes—access for the former, affordability for the latter, and often, neither for the marginalized.

Fundamentally, access to health care is viewed as a human right. Yet, the labyrinthine reality sees billions of individuals facing barriers to even basic medical care. Scarcity of facilities in rural districts or underprivileged urban fringes leaves inhabitants with scant options. In wealthier communities, advanced treatments and expertise might abound, yet their high cost remains prohibitive for those without sufficient insurance or financial resources.

The problem of affordability cannot be overstated. In developed nations like the United States, medical bankruptcy remains a pervasive horror despite advances in medicine. Insurance may cushion some costs, but often not without high premiums, co-pays, and deductibles that could rival a mortgage. Even those covered are just one major illness away from financial upheaval. Conversely, in low-income countries where insurance frameworks are weak or non-existent, medical costs can obliterate meager savings overnight.

Amid these disparaging scenes exists the burden of chronic diseases which disproportionately affect the poor due to factors such as inadequate diets and stressful living conditions. Their management requires consistent and affordable care—an almost insurmountable challenge under current systems.

What lies at the root of this conundrum? Primarily, it is an intricate web of policy shortcomings, economic stratification, systemic inefficiency, and at times sheer neglect. Efforts have been made to address these issues—the Affordable Care Act (ACA) in the US sought to increase access while restraining costs; various models like universal health care or single-payer systems have been adopted with varying degrees of success in other nations.

Yet challenges persevere due to inherent complexities involved in decision-making processes that interweave public needs with private interests. There’s also an element of human resource crisis—there are simply not enough health workers to cater to growing populations and their multiplying ailments.

A possible dim light at the end of this disheartening tunnel is technology—telemedicine promises wider access; AI and machine learning offer potential efficiencies and predictive advantages in patient care; blockchain could enable more equitable distribution; policies around drug pricing reform can potentially make life-saving medications more affordable.

Effecting change demands steadfast commitment from governments, civil societies, healthcare providers, and individuals alike. Healthcare systems need ceaseless assessment and adaption to meet evolving disease profiles and demographics—they should be resilient yet supple enough to bend without breaking under emergent strains.

In conclusion, tapping into every available resource—be it technological innovation or active policy-making—is paramount in resolving the dual riddles of access and affordability that underline the health care conensure before us. How we address this conundrum reflects our collective values as a society earnestly striving towards not just longevity for its citizens but more so quality and dignity in those extended years.